

A046147


Triangle read by rows in which row n lists the primitive roots mod n (omitting numbers n without a primitive root).


5



1, 2, 3, 2, 3, 5, 3, 5, 2, 5, 3, 7, 2, 6, 7, 8, 2, 6, 7, 11, 3, 5, 3, 5, 6, 7, 10, 11, 12, 14, 5, 11, 2, 3, 10, 13, 14, 15, 7, 13, 17, 19, 5, 7, 10, 11, 14, 15, 17, 19, 20, 21, 2, 3, 8, 12, 13, 17, 22, 23, 7, 11, 15, 19, 2, 5, 11, 14, 20, 23, 2, 3, 8, 10, 11, 14, 15, 18, 19, 21, 26
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OFFSET

2,2


LINKS

T. D. Noe, First 100 rows of triangle, flattened
Eric Weisstein's World of Mathematics, Primitive Root.


EXAMPLE

n followed by primitive roots, in any:
1 
2 1
3 2
4 3
5 2 3
6 5
7 3 5
8 
9 2 5
10 3 7
11 2 6 7 8
12 
13 2 6 7 11
...


MATHEMATICA

a[n_] := Select[Range[n1], GCD[#, n] == 1 && MultiplicativeOrder[#, n] == EulerPhi[n]& ]; Table[a[n], {n, 1, 30}] // Flatten (* JeanFrançois Alcover, Oct 23 2012 *)
PrimitiveRootList[Range[Prime[10]]]//Flatten (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Sep 10 2016 *)


CROSSREFS

Cf. A001918, A046144, A046145, A046146.
Cf. A060749
Sequence in context: A174063 A124459 A256366 * A251865 A052369 A110976
Adjacent sequences: A046144 A046145 A046146 * A046148 A046149 A046150


KEYWORD

nonn,tabf


AUTHOR

Eric W. Weisstein


STATUS

approved



